group

group — group delay for digital filter

Calling sequence

[tg,fr]=group(npts,a1i,a2i,b1i,b2i)  

Parameters

npts : integer : number of points desired in calculation of group delay
a1i : in coefficient, polynomial, rational polynomial, or cascade polynomial form this variable is the transfer function of the filter. In coefficient polynomial form this is a vector of coefficients (see below).
a2i : in coeff poly form this is a vector of coeffs
b1i : in coeff poly form this is a vector of coeffs
b2i : in coeff poly form this is a vector of coeffs
tg : values of group delay evaluated on the grid fr
fr : grid of frequency values where group delay is evaluated

Description

Calculate the group delay of a digital filter with transfer function h(z).

The filter specification can be in coefficient form, polynomial form, rational polynomial form, cascade polynomial form, or in coefficient polynomial form.

In the coefficient polynomial form the transfer function is formulated by the following expression

h(z)=prod(a1i+a2i*z+z**2)/prod(b1i+b2i*z+z^2)

Examples



z=poly(0,'z');
h=z/(z-.5);
[tg,fr]=group(100,h);
plot(fr,tg)
 
  

Author

C. B.